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3D Geometry question

2025 · 28 Jan · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
3D Geometry
2025 · 28 Jan · Shift 1 · Q26

3D Geometry question

2025 · 28 Jan · Shift 1 · Q26

JEE MainMathematics3D GeometryMCQ+4 / −1

Let

\mathrm{A}(x, y, z)

be a point in

x y

-plane, which is equidistant from three points

(0,3,2),(2,0,3)

and

(0,0,1)

. Let

\mathrm{B}=(1,4,-1)

and

\mathrm{C}=(2,0,-2)

. Then among the statements (S1) :

\triangle \mathrm{ABC}

is an isosceles right angled triangle, and (S2) : the area of

\triangle \mathrm{ABC}

is

\frac{9 \sqrt{2}}{2}

,

A
both are false
B
only (S2) is true
C
only (S1) is true
D
both are true

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